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  4. If C is the reflection of A (2, 4) in x-axis and B is the reflection of C in y -axis, then |AB| is

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Q. If $C$ is the reflection of $A (2, 4)$ in $x$-axis and $B$ is the reflection of $C$ in $y$ -axis, then $|AB|$ is

WBJEEWBJEE 2009Straight Lines

Solution:

Here, coordinates are $A(2, 4)$, $B(-2, -4)$ and $C(2, -4)$
image
Now, $\left|AB\right|=\sqrt{\left(-2-2\right)^{2}+\left(-4-4\right)^{2}}$
$=\sqrt{16+64}=\sqrt{80}$
$=4\sqrt{5}$